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Finding the Fourth Proportional to 74,016.72, 102,143.88 and 40,482

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Solution

The fourth proportional to 74,016.72, 102,143.88 and 40,482 is: 55,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016.72 : 102,143.88 = 40,482 : x
  2. Step 2: Convert to fraction form
    74,016.72/102,143.88 = 40,482/x
  3. Step 3: Cross multiply
    74,016.72x = 102,143.88 × 40,482
  4. Step 4: Simplify right side
    74,016.72x = 4,134,988,550.16
  5. Step 5: Solve for x
    x = 4,134,988,550.16/74,016.72
  6. Step 6: Final answer
    x = 55,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.